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DanielleElmas [232]
3 years ago
12

What is the correct answer?

Mathematics
1 answer:
egoroff_w [7]3 years ago
4 0
X⁴ - 81  = x⁴ - 9² (Difference of 2 squares, then we an write it:


(x²-3)(x²+3) =0, → then (x²-3) = 0 and (x²+3)=0

(x²-3) = 0 → x² = 3 → x = +√3 and x = -√3
(x²+3) =0 → x² = -3 → x = +√-3  and x = -√3→ or  i√3 AND  x = -i√3

A{ -3 , +3 , -i√3 , i√3}

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grigory [225]

In statistics, mean is the average in a set of data collected. To calculate the mean, you have to add up all the numbers in the table and divide it by the number of data that exists. For example, if the data set is 2 4 1 5 2 8, the mean will be:

mean = \frac{(2+4+1+5+2+8)}{6}= 3.6

So, for this data set, the mean is 3.6.

The median is also a average number, however, the median is the middle value in the list. For example, with the data set above, the median is 3, because, as the set has an even number of data, the middle term would be the mean of the two middle number, in other words:

median = \frac{1+5}{2} = 3

The standard deviation (σ) is the spread of data distribution, which means it's how "far" a number is from the mean of the set. The formula is

σ = √∑ (x - μ)²/N, where ∑ is the total sum; μ is the mean; and N is the number of data points in the sample. So, to calculate the standard deviation, using the example:

1) Calculate the mean of the set: μ=3.6

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(2-3.6)² = 2.56;

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6 0
3 years ago
What is the solution of the system?
Kryger [21]
Greetings!

Solve the System, using Elimination:
\left \{ {{4x+2y=18} \atop {2x+3y=15}} \right.

Multiply Equation #2 by 2:
\left \{ {{4x+2y=18} \atop {2(2x+3y)=2(15)}} \right.

\left \{ {{4x+2y=18} \atop {4x+6y=30}} \right.

Eliminate variable x:
-\frac{ \left \{ {{4x+2y=18} \atop {4x+6y=30}} \right.}{0x-4y=-12}

4y=-12

Divide both sides by 4:
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Input this value into one of the Equations: 
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Simplify:
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(4x+6)+(-6)=(18)+(-6)

4x=12

Divide both sides by 4.
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x=3

The Solution to this System (The Point of Intersection):
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